Under the conditions here investigated, particles in the beam can be deflected by the Coulomb potential of the target nuclei, leading to Bremsstrahlung (BR) emission. The radiated energy can be expressed as \(\int d\Omega \int _0^\infty d\omega \,\hbar \omega \,\Gamma ^\mathrm {BR}(\Omega ,\omega )\) , where \(\Gamma ^\mathrm {BR}(\Omega ,\omega )\)  gives the spectral and angular distribution of the emission probability. For an arbitrary time-dependent velocity vector \({\bf v}(t)\)  and trajectory \({\bf r}_p(t)\)  of the particle, this probability admits the expression [1]}
\(\Gamma ^\mathrm {BR}&(\Omega ,\omega )=\frac{\alpha Z^2}{4\pi ^2\omega } \\&\times \left|\int _{-\infty }^\infty dt\;{\rm e}^{{\rm i}\omega \left[t-\hat{\bf r}\cdot {\bf r}_p(t)/c\right]}\;\frac{d}{dt}\left[\frac{\hat{\bf r}\times {\bf v}(t)/c}{1-\hat{\bf r}\cdot {\bf v}(t)/c}\right]\right|^2.\nonumber \) 
